Use facts about supplementary angles to solve the following problem.(1 point)

Question

Two angles are supplementary (they add up to 180°) and have measures m∠ABC=15° and m∠CBD=x°. What is the measure of ∠CBD?

°

Answer 1

To find the measure of angle ∠CBD, we can use the fact that supplementary angles add up to 180°.

Given:

• m∠ABC = 15°
• m∠CBD = x°

Since the angles are supplementary, we have:

m∠ABC + m∠CBD = 180°

Substituting the known value:

15° + x° = 180°

Now, subtract 15° from both sides:

x° = 180° - 15° x° = 165°

Therefore, the measure of ∠CBD is 165°.